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The quantum spin effects inside matter can be modeled via the Weyssenhoff fluid, which permits to unearth a formal analogy between general relativity and Einstein-Cartan theory at the first post-Newtonian order. In this framework, we…

General Relativity and Quantum Cosmology · Physics 2023-09-20 Vittorio De Falco , Emmanuele Battista

Fluctuations on de Sitter solution of Einstein-Cartan field equations are obtained in terms of the matter density primordial density fluctuations and spin-torsion density and matter density fluctuations obtained from COBE data. Einstein-de…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. C. Garcia de Andrade

We investigate newtonian description of accreting compact bodies with hard surfaces, including luminosity and selfgravitation of polytropic perfect fluids. This nonlinear integro-differential problem reduces, under appropriate boundary…

Astrophysics · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Krzysztof Roszkowski

f(R)-theories of gravity are reviewed in the framework of the matter-antimatter asymmetry in the Universe. The asymmetry is generated by the gravitational coupling of heavy (Majorana) neutrinos with the Ricci scalar curvature. In order that…

High Energy Physics - Phenomenology · Physics 2015-06-23 G. Lambiase , S. Mohanty , L. Pizza

The scattering of spinning test particles by a Schwarzschild black hole is studied. The motion is described according to the Mathisson-Papapetrou-Dixon model for extended bodies in a given gravitational background field. The equatorial…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Donato Bini , Andrea Geralico

The theory of dark matter superfluidity has emerged as a compelling framework, in which the dynamics are governed by a non-relativistic $P(X)$ superfluid Lagrangian that naturally leads to Modified Newtonian Dynamics (MOND)-like behavior…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Seturumane Tema

The logarithmic superfluid theory of physical vacuum predicts that gravity is an induced phenomenon, which has a multiple-scale structure. At astronomical scales, as the distance from a gravitating center increases, gravitational potential…

General Relativity and Quantum Cosmology · Physics 2022-01-13 Konstantin G. Zloshchastiev

We show that there is a correspondence between cosmology from non-extensive thermodynamics and cosmology with fluids of redefined and generalized equation of state. We first establish the correspondence in the case of basic non-extensive…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Shin'ichi Nojiri , Sergei D. Odintsov , Emmanuel N. Saridakis , R. Myrzakulov

We present hydrodynamic equations with relativistic pressure and velocity in the presence of weak gravity, in a cosmological context. Previously we consistently derived special relativistic hydrodynamic equations with weak gravity in…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Hyerim Noh , Jai-chan Hwang , Chan-Gyung Park

We consider a new variant of cosmological perturbation theory that has been designed specifically to include non-linear density contrasts on scales 100 Mpc, while still allowing for linear fluctuations on larger scales. This theory is used…

General Relativity and Quantum Cosmology · Physics 2019-04-08 Christopher S. Gallagher , Timothy Clifton

The Mathisson-Papapetrou equations in Kerr's background are considered. The region of existence of highly relativistic planar circular orbits of a spinning particle in this background and dependence of the particle's Lorentz $\gamma$-factor…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Roman Plyatsko , Mykola Fenyk

Special theory of relativity has been formulated in a vacuum momentum-energy representation which is equivalent to Einstein special relativity and predicts just the same results as it. Although in this sense such a formulation would be at…

General Relativity and Quantum Cosmology · Physics 2007-05-23 P. F. Gonzalez-Diaz

The dynamics of a viscous accretion disc subject to a slowly varying warp of large amplitude is considered. Attention is restricted to discs in which self-gravitation is negligible, and to the generic case in which the resonant wave…

Astrophysics · Physics 2009-10-31 G. I. Ogilvie

The Mathisson equations under the Frenkel-Mathisson supplementary condition are studied in a Schwarzschild field. The choice of solutions, which describe the motions of the proper center of mass of a spinning test particle, is discussed,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roman Plyatsko , Oleksandr Stefanyshyn

We obtain rotation laws for axially symmetric, selfgravitating and stationary fluids around spinning black holes. They reduce --- in the Newtonian limit --- to monomial rotation curves. For spinless black hole, one obtains in the first…

General Relativity and Quantum Cosmology · Physics 2020-04-15 Wojciech Kulczycki , Edward Malec

We study holographic three-dimensional fluids with vorticity in local equilibrium and discuss their relevance to analogue gravity systems. The Fefferman-Graham expansion leads to the fluid's description in terms of a comoving and rotating…

High Energy Physics - Theory · Physics 2015-06-05 Robert G. Leigh , Anastasios C. Petkou , P. Marios Petropoulos

Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We…

High Energy Physics - Theory · Physics 2022-01-19 Masaru Hongo , Xu-Guang Huang , Matthias Kaminski , Mikhail Stephanov , Ho-Ung Yee

We consider the spin response of a normal Fermi liquid with noncentral interactions under conditions intermediate between the collisionless and hydrodynamic regimes. This problem is of importance for calculations of neutrino properties in…

Nuclear Theory · Physics 2013-05-29 C. J. Pethick , A. Schwenk

We give an argument that a broad class of geometric models of spinning relativistic particles with Casimir mass and spin being separately fixed parameters, have indeterminate worldline (while other spinning particles have definite…

Mathematical Physics · Physics 2012-02-10 Łukasz Bratek

We use anisotropic fluid cosmology to describe the present, dark energy-dominated, universe. Similarly to what has been proposed for galactic dynamics, the anisotropic fluid gives an effective description of baryonic matter, dark energy and…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Mariano Cadoni , Andrea P. Sanna , Matteo Tuveri